### Abstract

This chapter sketches various situations in which the tools described in this book have appeared. They are: 1.The characterization of those class functions on a group which are group characters.2.The use of group matrices in the theory of group rings.3.The application of group matrices to the theory of cogrowth of groups.4.Work of Poincaré on differential equations.5.The connection between factors of the group determinant and Chern classes.6.The appearance of the group matrix as a Gram matrix for tight frames with a symmetry group, which have appeared in the theory of wavelets.7.The theory of 3-manifolds.8.Control theory and electrical engineering.9.The algebra defined by considering the k-classes under multiplication.

Original language | English (US) |
---|---|

Title of host publication | Lecture Notes in Mathematics |

Publisher | Springer Verlag |

Pages | 313-340 |

Number of pages | 28 |

DOIs | |

State | Published - Jan 1 2019 |

### Publication series

Name | Lecture Notes in Mathematics |
---|---|

Volume | 2233 |

ISSN (Print) | 0075-8434 |

ISSN (Electronic) | 1617-9692 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory

### Cite this

*Lecture Notes in Mathematics*(pp. 313-340). (Lecture Notes in Mathematics; Vol. 2233). Springer Verlag. https://doi.org/10.1007/978-3-030-28300-1_10

}

*Lecture Notes in Mathematics.*Lecture Notes in Mathematics, vol. 2233, Springer Verlag, pp. 313-340. https://doi.org/10.1007/978-3-030-28300-1_10

**Other Situations Involving Group Matrices.** / Johnson, Kenneth W.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Other Situations Involving Group Matrices

AU - Johnson, Kenneth W.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - This chapter sketches various situations in which the tools described in this book have appeared. They are: 1.The characterization of those class functions on a group which are group characters.2.The use of group matrices in the theory of group rings.3.The application of group matrices to the theory of cogrowth of groups.4.Work of Poincaré on differential equations.5.The connection between factors of the group determinant and Chern classes.6.The appearance of the group matrix as a Gram matrix for tight frames with a symmetry group, which have appeared in the theory of wavelets.7.The theory of 3-manifolds.8.Control theory and electrical engineering.9.The algebra defined by considering the k-classes under multiplication.

AB - This chapter sketches various situations in which the tools described in this book have appeared. They are: 1.The characterization of those class functions on a group which are group characters.2.The use of group matrices in the theory of group rings.3.The application of group matrices to the theory of cogrowth of groups.4.Work of Poincaré on differential equations.5.The connection between factors of the group determinant and Chern classes.6.The appearance of the group matrix as a Gram matrix for tight frames with a symmetry group, which have appeared in the theory of wavelets.7.The theory of 3-manifolds.8.Control theory and electrical engineering.9.The algebra defined by considering the k-classes under multiplication.

UR - http://www.scopus.com/inward/record.url?scp=85075130672&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85075130672&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-28300-1_10

DO - 10.1007/978-3-030-28300-1_10

M3 - Chapter

AN - SCOPUS:85075130672

T3 - Lecture Notes in Mathematics

SP - 313

EP - 340

BT - Lecture Notes in Mathematics

PB - Springer Verlag

ER -